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    Side Angle Side Postulate

    Proving Congruent Triangles with SAS

    The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
     Example 1  

    Included Angle


    The included angle means the angle between two sides. In other words it is the angle 'included between' two sides.
    Identify Side Angle Side Relationships
    In which pair of triangles pictured below could you use the Side Angle Side postulate (SAS) to prove the triangles are congruent?
     Answer 

       
    Identify SAS Postulate and theorem
    Side Angle Side example
    SAS postulate


     Side Angle Side Practice Proofs  


    Given: 1) point C is the midpoint of BF 2) AC= CE

    Prove that ABC EFC


    Side Angle Side Example Proof

    Prove BCD BAD



    Given: 1)HJ is a perpendicular bisector of KI
    Side Angle Side Activity

    Below is the proof that two triangles are congruent by Side Angle Side.

    Can you imagine or draw on a piece of paper, two triangles,Triangle symbolBCACongruent XCY, whose diagram would be consistent with the Side Angle Side proof whown below?
    Show Two Triangles

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